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What the smallest rubber wheels that can be turned by a Technic axle?

This is what I have so far

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Wheel Full Rubber Balloon with Axle hole #4288

Background: I'm building a GBC and I want to push the balls at speed across an open area. I plan to hide small spinning wheels in the opening they go through and assume that rubber tyres are the best solution.

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    There are some small tires that fit on half-bushings. – Alexander O'Mara Oct 29 '18 at 2:04
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I think the smallest one in diameter is the tire 3641

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with the bush 4265c.

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Alternatively, you can use the tire 3139

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which has a smooth surface and also compatible (but a little bit loosely) with the same bush.

2

While it is technically not a rubber wheel, you can use an axle with a half-bush and with an additional rubber band to provide grip. Tensioning the band between two such axles will form a short conveyor belt with a rubbery surface, which could be used for transporting balls when surrounded by appropriate elements to form a channel:

quick-and-dirty MS Paint sketch

(the black lines are axles, the grey ovals are half-bushes, the red freehand-circle is a rubber band and the round spotty ugliness is supposed to be my rendition of a LEGO football)

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